Statistics

Problem Statement for "PrimalUnlicensedCreatures"

Problem Statement

The Primal Grez are ferocious creatures. They constantly fight each other. When a Grez wins a battle against another Grez, the winner captures the loser's essence, thus becoming stronger. More formally:
  • The power level of each Grez is a positive integer.
  • A Grez can only defeat creatures that have a strictly smaller power level.
  • When a Grez of power level X defeats a Grez of power level Y, the first Grez's power level is increased to X + Y/2. Note that Y/2 represents integer division, i.e., the fractional part is discarded. For example, for Y=3 we have Y/2 = 1.
Your goal is to help a Grez that currently has power level equal to int initialLevel battle against a set of other Grez. For each i, Grez number i (0-based index) has a power level equal to grezPower[i]. Your Grez can challenge the other creatures in any order.

You are given the int initialLevel and the int[] grezPower. Return the maximum number of creatures your Grez can defeat, one after another.

Definition

Class:
PrimalUnlicensedCreatures
Method:
maxWins
Parameters:
int, int[]
Returns:
int
Method signature:
int maxWins(int initialLevel, int[] grezPower)
(be sure your method is public)

Constraints

  • initialLevel will be between 1 and 1000, inclusive.
  • grezPower will contain between 1 and 50 elements, inclusive.
  • Each element of grezPower will be between 1 and 1000, inclusive.

Examples

  1. 31

    {10, 20, 30}

    Returns: 3

    It is possible to defeat all the available opponents. For example: Defeat the creature with power level 30. Your creature's power level becomes 31 + 15 = 46. Defeat the creature with power level 10. Your creature's power level becomes 46 + 5 = 51. Defeat the creature with power level 20. Your creature's power level becomes 51 + 10 = 61.

  2. 20

    {24, 5, 6, 38}

    Returns: 3

    It is best to defeat creatures 1 and 2 before facing creature 0. Your creature's power level will be 25 when facing creature 0. It is not possible to defeat creature 3.

  3. 20

    {3, 3, 3, 3, 3, 1, 25 }

    Returns: 6

    It is possible to defeat the 6 weakest creatures. After that your creature's power level will be 25, which is not strong enough to defeat another level 25 creature.

  4. 4

    {3, 13, 6, 4, 9}

    Returns: 5

  5. 7

    {7, 8, 9, 10}

    Returns: 0

    All the available opponents are too strong for your creature to defeat.

  6. 713

    {794,857,149,857,663,49}

    Returns: 6

  7. 423

    {351,891,95,526,387,756,717,415,904,541,543,77,456,912,822,70,167,542,337,38,876,463,765,550,614,580,753,80}

    Returns: 28

  8. 32

    {127,818,146,275,340,651,647,105,211,863,6,613,182,833,127,145,184,402,786,740,82,674,309,872,108,197}

    Returns: 1

  9. 112

    {621,268,33,874,107,876,388,595,386,342,471,488,75,437,53,461,21,323,941,863,77,903,550,272,991,219,118}

    Returns: 27

  10. 653

    {856,647,67,375,507,57,175,577,922,550,389,995,874,738,820,961,492,88,818,269,601,170,543,508,174,875,37,290,670,82,110,593,351,514,619,205,544,637,989,261,677,100,579}

    Returns: 43

  11. 837

    {303,853,78,768,546,385,780,100,455,585,143,792,372,557,360,849,255,304,3,835,546,646,59,811,69,8,499,966,473,423,397,147,232,929,927,209,760,192,74,569,316,926}

    Returns: 42

  12. 498

    {511,664,108,16,595,295,170,252,996,482,217,291,288,153,414,626,334,350,639,827,350,131,837,904,407,913,732,919,87,908,79,533,692,486,935,635,866,711,454,179,728,320,851,78,648,271,435}

    Returns: 47

  13. 719

    {138,2,40,851,164,542,585}

    Returns: 7

  14. 749

    {82,329,918,625,432,433,992}

    Returns: 7

  15. 683

    {295,309,111,475,273,314,509,460,356,159,922,933,735,521}

    Returns: 14

  16. 289

    {576,49,225,196,256,625,676,100,324,100,169,961,4,784,121,289,49,25,9,225,100,25,400,4,16,361,16,81,196,25,1,16,64,361,81,49,324,729,441,81,676,16,361,900,100,81,729,196,81}

    Returns: 49

  17. 256

    {289,1,625,841,64,25,841,484,49,289,169,576,400,484,900,841,225,169,900,484,961}

    Returns: 21

  18. 529

    {16,81,841,144,676,4,400,400,841,289,289,441,4,1,361,144,529,625,256,121,225,64,49,576,256,324,729,169,64}

    Returns: 29

  19. 4

    {576,625,49,256,441,324,625,961,225,729,9,25,9,169,441,4,25,289,196,576,36,361,169,64,441,900,100,169,81,144,9,256,784,729,16,625,784,81,121,49,729,121,841,484,144,4}

    Returns: 0

  20. 16

    {900,64,121,841,121,676,676}

    Returns: 0

  21. 121

    {36,729,625,64,900,625,1,100}

    Returns: 4

  22. 625

    {81,144,361,361,4,961,1,169,484,16,64,25,36,841,9,169,49,225,676,64,784,729,225,196,324,441,324,784,576,64,25,225,961,64,9,100,324,225,25,676,9,169,169}

    Returns: 43

  23. 1

    {81,121,576,144,121,64,256,576,169,400,625,900,576,25,144}

    Returns: 0

  24. 289

    {4,400,256,576,900,729,324,4,841,289,121,529,529,256,36,100}

    Returns: 16

  25. 49

    {361,324,64,64,225,361,4,4,25,256,400,324,400,961,289}

    Returns: 5

  26. 64

    {343,512,343,27,27,27,64,512,343,343,1}

    Returns: 5

  27. 1

    {64,512,8,729,343,216,27,216,1,729,27,729,343,216,512}

    Returns: 0

  28. 64

    {216,343,343,125,64,64,64,27,729,8,216,729,512,512,512,125,1,1,729,125,64,216,27,8,343,64,729,729,64,64,343,216,27}

    Returns: 33

  29. 125

    {27,343,27,27,125,343,8,125,27,729,729,27}

    Returns: 8

  30. 216

    {729,27,125,8,216,1,8,8,8,27,64,512,729,1,343,1,125,343,343,343,512,27,8,8,27,729,216,512,216,729,27,64,1,27,8,1,125,64,216,216,512,27,125,512,64,125}

    Returns: 46

  31. 729

    {27,1,8,1,8,125,512,64,8,125,125,216,27,216,1,512,64,729,343,343,27,27,729,729,8}

    Returns: 25

  32. 64

    {125,27,64,27,64,216,343,512,64,27,64,512,64,1,27,8}

    Returns: 16

  33. 1

    {8,729,729,8,216,64,1,729,125,64,64,8,512,216,343,64,343,729,729,512,216,64,512,729,343,1,27,729,64,343}

    Returns: 0

  34. 216

    {1,8,216,512,216,125,1,125,8,512,64,27,64,729,64,512,125,64,125,216,8,343,27,343}

    Returns: 24

  35. 343

    {1,512,125,64,64,1,8,216,8,1,125,216,512,1,512}

    Returns: 15

  36. 3

    {2, 3, 4, 6, 9, 13, 19, 28, 42, 63, 94, 141, 211, 316, 474, 711}

    Returns: 16

  37. 3

    {2, 2, 4, 4, 8, 8, 16, 16, 32, 32, 64, 64, 128, 128, 256, 256, 512, 512}

    Returns: 18

  38. 3

    {2, 2, 2, 5, 5, 5, 11, 11, 11, 26, 26, 26, 65, 65, 65, 161, 161, 161, 401, 401, 401}

    Returns: 21

  39. 7

    {7, 8, 9, 10 }

    Returns: 0

  40. 3

    {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 }

    Returns: 16

  41. 500

    {10, 20, 30 }

    Returns: 3

  42. 3

    {5, 4, 3, 2 }

    Returns: 4

  43. 6

    {6, 5 }

    Returns: 2

  44. 4

    {3, 13, 6, 4, 9 }

    Returns: 5

  45. 20

    {24, 5, 6, 38 }

    Returns: 3

  46. 3

    {3, 3 }

    Returns: 0

  47. 10

    {10, 10 }

    Returns: 0

  48. 30

    {1, 30 }

    Returns: 1

  49. 2

    {1, 2 }

    Returns: 1

  50. 10

    {999, 999, 999, 888, 899, 910, 920, 930, 940, 950, 960, 960, 777, 456, 678, 987, 654, 345, 456, 456, 2, 456 }

    Returns: 1

  51. 3

    {1, 1, 1, 1, 1, 1, 1, 1 }

    Returns: 8

  52. 1000

    {999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999 }

    Returns: 50

  53. 20

    {37, 24, 6, 6 }

    Returns: 4

  54. 1000

    {999 }

    Returns: 1

  55. 10

    {1, 150, 400 }

    Returns: 1

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